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Finding the Fourth Proportional to 198.26, 296.98 and 195.83

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Solution

The fourth proportional to 198.26, 296.98 and 195.83 is: 293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.26 : 296.98 = 195.83 : x
  2. Step 2: Convert to fraction form
    198.26/296.98 = 195.83/x
  3. Step 3: Cross multiply
    198.26x = 296.98 × 195.83
  4. Step 4: Simplify right side
    198.26x = 58,156.73
  5. Step 5: Solve for x
    x = 58,156.73/198.26
  6. Step 6: Final answer
    x = 293.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.